A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?

Answers

Answer 1

Answer:

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.

Step-by-step explanation:

Let,

x be the pounds of oatmeal used

y be the pounds of crispies used

z be the pounds of chocolate

According to given statement;

1.50x+2.00y+1.00z = 17.00     Eqn 1

x+y+z = 11      Eqn 2

x = 2y   Eqn 3

Putting x=2y in Eqn 2

2y+y+z = 11

3y+z = 11     Eqn 4

From Eqn 4

z = 11 - 3y    Eqn 5

Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1

1.50(2y) + 2.00y + 1(11-3y) = 17.00

3y+2y+11-3y=17

[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]

Putting y = 3 in Eqn 3

x= 2(3)

x= 6

Putting in Eqn 2

6 + 3 + z = 11

z = 11-9

z= 2

Hence,

6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.


Related Questions

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

What shape is this cross-section?

Answers

I’m pretty sure the answer is D :)

Answer:

D

Step-by-step explanation:

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

-3/4 times (-12) (this / means a fraction)

Answers

Answer:

9

Step-by-step explanation:

What’s the sum of -3a+2 and 5a-3

Answers

Answer:

2a-1

Step-by-step explanation:

Answer:

2a-1

Step-by-step explanation:

you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.

Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD

Answers

Answer:

23:600

24

a12

b27

c36

d45

Step-by-step explanation:

23.

5/9 = ?/1080

1080/9 = 120. 120 × 5 = 600

So there are 600 students who voted for the winning candidate in the school.

24.

Length : width

4 : 3 (we need to cross multiply and solve the equation in order to find the answer to these)

x : 16 <- 16 × 4 = 64. 3 × x = 3x. 64 = 3x. 64/3 = 21 1/3. 21.3:16

x : 26 <- 26 × 4 = 104. 3 × x = 3x. 104 = 3x. 104/3 = 34 2/3. 34.6:26

x : 48 <- 48 × 4 = 192. 3 × x = 3x. 192 = 3x. 192/3 = 64. 64:48

x : 60 <- 60 × 4 = 240. 3 × x = 3x. 240 = 3x. 240/3 = 80. 80:60

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Step-by-step explanation:

lag is Determine the​ flag's wlag is Determine the​ flag's wlag is Determine the​ flag's w this mena that the wiatgh

Answer:

I need help on this.

Step-by-step explanation:

brainly pls


What is the solution of x + 6 11
C. x –1

show your work pls

Answers

Answer:

C. x < –1

Step-by-step explanation:

What is the solution of x + 6 < 5?

A. x < 11

B. x > 11

C. x < –1

D. x > –1

-1+6<5

but you need less than 5 so

x<-1

-20 > -2x + 4 inequality

Answers

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

find the percent of change.
50 to 75 ft...
please explain.​

Answers

Answer:

50%

Step-by-step explanation:

50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50).

Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!

Answers

The answer is (4,-1)

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

Which is an example of a statistical question?

|
|How old am 1?
How old is the teacher?
How old will I be after my next birthday?
How old are the students ín math class?

Answers

Statistic questions can only be answered with collective data

Answer: how old are the students in the math class

Why: because their ages vary and can be used as data

Answer:

Question 4 is a statistical question aka answer D

Step-by-step explanation:

Correct on edge

Which point is at 44.197 on the number line?

Answers

Answer:

C

Step-by-step explanation:

because C

6 quarts =
gallons


Please i meed help answer fast

Answers

Answer:

1 2/4 or 1.5

Explanation:

There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D

Hope this helped!

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

5.
In the given right triangle, find the missing length to the nearest tenth.

A. 25 ft
B. 24.1 ft
C. 8.5 ft
D. 7.9 ft

Answers

Answer:

The answer is A. 25 ft

Step-by-step explanation:

Given a=24 and b=7,

c = 25

∠α = 73.74° = 73°44'23" = 1.287 rad

∠β = 16.26° = 16°15'37" = 0.28379 rad

h = 6.72

area = 84

perimeter = 56

inradius = 3

circumradius = 12.5

i need help with part a and b. sorry its kind of hard to read

Answers

Answer:

A) 4900

B) How far above she is before she starts hiking/the distance she is from the canyon floor.

Step-by-step explanation:

Since it's linear, it will follow the formula y=mx+c.

We can sub in the values to get:

3500=m(1)+c → 3500-m=c

2100=m(2)+c → 2100 = 2m+c

Sub '3500-m' in for c:

2100=2m+3500-m

m= -1400

c=3500-m=3500-(-1400)=3500+1400=4900

∴equation is: y= -1400x+4900

To find the initial value, ie when the number of hours = 0, we sub in zero for x:

y = -1400(0) + 4900

PART A ANS: 4900

PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.

What is the value of g(-3) if f(x)=2x-1 and g(x)=-x+1?

Answers

Answer:

it's answer is 4

Step-by-step explanation:

given

g(x) = - x + 1

g(-3) = -(-3) + 1

= 3 + 1

=4

Hope it will help you :)❤

What is the length for this question?

Answers

Answer:

I believe it would be 3.5

Step-by-step explanation:

2 is half of 4, the measurement for that same side on the connected triangle, by that logic, x would be half of 7.

7 ÷ 2 = 3.5

Answer:

i think it is 9

Step-by-step explanation:

.

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?

Answers

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

a) y=(x+4)7-7)
Convert factored form to standard form

Answers

Answer:

[tex]y - 7x = 21[/tex]

Step-by-step explanation:

Given

[tex]y = (x + 4)7 - 7[/tex]

Required

Convert to standard form

[tex]y = (x + 4)7 - 7[/tex]

Start by opening the bracket

[tex]y = x*7 + 4*7 - 7[/tex]

[tex]y = 7x + 4*7 - 7[/tex]

[tex]y = 7x + 28 - 7[/tex]

[tex]y = 7x + 21[/tex]

Subtract 7x from both sides

[tex]y - 7x = 7x - 7x + 21[/tex]

[tex]y - 7x = 21[/tex]

Hence:

The standard form is: [tex]y - 7x = 21[/tex]

2/3 + (-1/3) = ?????

Answers

Answer: (+) 1/3

Step-by-step explanation: 2/3 + -1/3 is basically subtracting 1/3 from 2/3 so, 2/3 - 1/3 = 1/3.

Answer:

The answer is 1/3.

Step-by-step explanation

If you have a calculator then you can put it in your calculator and it will give you the answer.

If you don't have one then here is how you do it.

Its simple really, all your doing is just subtracting 1/3 from 2/3 and you will get 1/3 which is the answer.

I hope this helps you.

At Bridgeview School, 7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Bridgeview School ride the school bus. The remaining students walk. What fraction of the students walk to school?

Answers

Answer:

a fraction

Step-by-step explanation:

a fraction

C

Step-by-step explanation:

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

Hey guys p lease help!!

Answers

Answer:

24

Step-by-step explanation:

Using ratios, we know that PQ/PT = PR/PS = QR/TS

of course, we know this because of AA similarity.

PQ/PT = 1/2

so PR/PS = 1/2 => PS = 12*2 = 24

Answer:

24

Step-by-step explanation:

PQ is half of PT, therefore, if PR = 12, PS = 24  

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